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Application of a Second Order Shock Capturing Scheme to the Solution of the Water Faucet Problem With a 1D Two-Fluid Model

[+] Author Affiliations
William D. Fullmer, Martin A. Lopez de Bertodano

Purdue University, West Lafayette, IN

Xiaoying Zhang

South China University of Technology, Guangzhou, Guangdong, China

Paper No. ICONE20-POWER2012-54607, pp. 493-500; 8 pages
doi:10.1115/ICONE20-POWER2012-54607
From:
  • 2012 20th International Conference on Nuclear Engineering and the ASME 2012 Power Conference
  • Volume 4: Codes, Standards, Licensing, and Regulatory Issues; Fuel Cycle, Radioactive Waste Management and Decommissioning; Computational Fluid Dynamics (CFD) and Coupled Codes; Instrumentation and Controls; Fuels and Combustion, Materials Handling, Emissions; Advanced Energy Systems and Renewables (Wind, Solar, Geothermal); Performance Testing and Performance Test Codes
  • Anaheim, California, USA, July 30–August 3, 2012
  • Conference Sponsors: Nuclear Engineering Division, Power Division
  • ISBN: 978-0-7918-4498-4
  • Copyright © 2012 by ASME

abstract

The one dimensional two-fluid model is widely acknowledged as the most detailed and accurate macroscopic formulation model of the thermo-fluid dynamics in nuclear reactor safety analysis. Currently the prevailing one dimensional thermal hydraulics codes are first order accurate. The benefit of first order schemes is numerical viscosity, which serves as a regularization mechanism for many otherwise ill-posed two-fluid models. However, excessive diffusion in regions of large gradients leads to poor resolution of phenomena related to void wave propagation. In this work, a second order numerical method is developed for a standard two-fluid model code by applying a second order temporal scheme and a shock capturing scheme using a flux limiter formulation for the convection of void fraction and velocity. The classic water faucet problem is taken as the benchmark.

Copyright © 2012 by ASME

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